Finding the Fourth Proportional to 10,283.50, 14,191.28 and 5,567.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,283.50 : 14,191.28 = 5,567.78 : x
2. Step 2: Convert to fraction form
   10,283.50/14,191.28 = 5,567.78/x
3. Step 3: Cross multiply
   10,283.50x = 14,191.28 × 5,567.78
4. Step 4: Simplify right side
   10,283.50x = 79,013,932.60
5. Step 5: Solve for x
   x = 79,013,932.60/10,283.50
6. Step 6: Final answer
   x = 7,683.56